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Electrochemistry

Question
CBSEENCH12010730
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The degree of dissociation (α) of a weak electrolyte ,AxBy is related to van't Hoff factor (i) by the expression

  • straight alpha space equals space fraction numerator 1 minus 1 over denominator left parenthesis straight x plus straight y minus 1 right parenthesis end fraction
  • straight alpha space equals space fraction numerator 1 minus 1 over denominator left parenthesis straight x plus straight y plus 1 right parenthesis end fraction
  • straight alpha space equals space fraction numerator straight x plus straight y minus 1 over denominator straight i minus 1 end fraction
  • straight alpha space equals space fraction numerator straight x plus straight y plus 1 over denominator straight i minus 1 end fraction

Solution

A.

straight alpha space equals space fraction numerator 1 minus 1 over denominator left parenthesis straight x plus straight y minus 1 right parenthesis end fraction straight A subscript straight x straight B subscript straight y space rightwards harpoon over leftwards harpoon space space xA to the power of straight y plus end exponent space plus space yB to the power of straight x minus end exponent left parenthesis 1 minus straight alpha right parenthesis space space space space space xα space space space space space space space space space space yα straight i space equals space straight n space left parenthesis straight A subscript straight x straight B subscript straight y right parenthesis space plus space straight n left parenthesis straight A to the power of straight y plus end exponent right parenthesis plus straight n left parenthesis straight B to the power of straight x minus end exponent right parenthesis space equals space 1 minus straight alpha space plus xα space plus yα space equals 1 space plus straight alpha space left parenthesis straight x plus straight y minus 1 right parenthesis straight alpha space equals space fraction numerator straight i minus 1 over denominator left parenthesis straight x plus straight y minus 1 right parenthesis end fraction

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